The England international striker, who is currently preparing for the upcoming World Cup, became Brendan Rodgers' first signing of the transfer window earlier this week, ending his successful five-year stint at Southampton.

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Lambert, a boyhood Liverpool fan, scored 13 Premier League goals last season and bolsters a forward line that already boasts Luis Suarez and Daniel Sturridge, who scored over 50 league goals between them in 2013-14.

Former center back Carragher, who made over 500 appearances for the Reds, thinks that Lambert will be a good compliment to Rodgers' attacking options.

"I think it's a very good signing," Carragher told Liverpool's official website. "He's a local boy, a Liverpool fan, and it's probably been a dream for him.

"There'll be lots of games with Liverpool being involved in the Champions League, so he'll play his part and I'm sure he'll get some goals."

Lambert joins a Liverpool contingent that includes Sturridge, Steven Gerrard, Raheem Sterling, Jordan Henderson and Glen Johnson in England's 23-man squad for the World Cup, with the former Bristol Rovers man among the scorers in Wednesday's 2-2 draw with Ecuador in Miami.

Carragher hopes all of Liverpool's England players can excel in Brazil, as well as Suarez, who could line up against England for Uruguay.

He added: "I'm eager for them all to do well - also Suarez, who is playing against England, so that'll be difficult.

"I think England will qualify from the group and then who knows who they'll get in the draw."